We report the genome sequence of bacteriophage NathanVaag, an actinobacteriophage isolated from soil in El Paso, Texas, that infects Arthrobacter sp. strain ATCC 21022. The 49,645-bp genome contains 73 predicted protein-coding genes. Based on gene content similarity to phages in the Actinobacteriophage Database, NathanVaag is assigned to phage cluster AO1.